492967943942400 has 162 divisors, whose sum is σ = 1762471659926250. Its totient is φ = 131458118369280.

The previous prime is 492967943942339. The next prime is 492967943942417. The reversal of 492967943942400 is 4249349769294.

It is a happy number.

492967943942400 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 67 + 94 + 39 + 42 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32074371403776 + 460893572538624 = 5663424^2 + 21468432^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4279178025 + ... + 4279293224.

Almost surely, 2^{492967943942400} is an apocalyptic number.

492967943942400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492967943942400 is an abundant number, since it is smaller than the sum of its proper divisors (1269503715983850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492967943942400 is a wasteful number, since it uses less digits than its factorization.

492967943942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558471281 (or 8558471259 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 492967943942400 in words is "four hundred ninety-two trillion, nine hundred sixty-seven billion, nine hundred forty-three million, nine hundred forty-two thousand, four hundred".